Dice. After getting trounced by your little brother in a children's game, you suspect that the die he gave you is un- fair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness?
|
Face
|
Count
|
|
1
|
11
|
|
2
|
7
|
|
3
|
9
|
|
4
|
15
|
|
5
|
12
|
|
6
|
6
|
a) If the die is fair, how many times would you expect each face to show?
b) To see if these results are unusual, will you test goodness- of-fit, homogeneity, or independence?
c) State your hypotheses.
d) Check the conditions.
e) How many degrees of freedom are there?
2
b) That brokerage firm also wants to know if the type of
f) Find x and the P-value.
Account affects the size of the account (in dollars). It per- forms a test to see if the mean size of the account is the same for the three account types.
g) State your conclusion.